Error Analysis of Natural Vibration Characteristic of the Diamond Wire Saw

Abstract:

As diamond wire saw machining device, the vibration characteristics of beaded rope has important implications on the processing quality and the service life. Based on it, this topic used the Galerk and complex modal method to research the changes of natural frequency of lateral vibration characteristics under different parameters, and comparative analyzed the effect of two methods on the natural vibration characteristics. Firstly, through an analysis on vibration mechanics model used complex modal method, the author obtained the exact solution of natural frequencies under different parameters, after that, utilized the Galerkin method to discrete the system vibration equations for getting the first N natural vibration characteristics. According to comparative analyzed the natural vibration characteristics of two algorithms, the results showed that, using appropriate Galerkin method will obtain more accurate solutions,as well as provide theoretical support on suppressing the vibration of beaded rope.

• Periodical: Applied Mechanics and Materials (Volumes 541-542)
• Pages: 174-179
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.541-542.174
• Online since: March 2014
• Authors: Fei Wang*, Bo Huang, Jin Sheng Zhang, Zhi Wang, Heng Zhang
• Keywords: Complex Modal Analysis, Diamond Wire Saw, Error Analysis, Natural Vibration Characteristics

References

[1] WRIGHT D N, ENGELS J A. The environmental and cost benefits of using diamond wire for quarriying and processing of natural stone[J]. Industrial Diamond Review, 2003(4): 16-24.

[2] TCINSHOFF H KHILLMANN-APMANN H. Diamond tools for wire sawing metal components[J]. Diamond and Related Materials, 2002(11): 742-748.

DOI: 10.1016/s0925-9635(01)00727-0

[3] WangFei, ZHANG Jin-sheng. Current situation and development of diamond wire saw cutting technology[J]. Diamond& Abrasives Engineering, 2013, 33(1): 36-42.

[4] J. A. WICKERT AND C. D. MOTE. Classical vibration analysis of axially moving continua [J], ASME Journal of Applied Mechanics, 1990, 57(3): 738-744.

DOI: 10.1115/1.2897085

[5] J. A. WICKERT AND C. D. MOTE. Response and discretization methods for axially moving materials [J]. ASME Applied Mechanics Reviews, 1991, (44): 738-744.

DOI: 10.1115/1.3121365

[6] Chen Li-Qun. Analysis and Control of Transverse Vibrations of Axially Moving String[J]. Applied Mechanics Reviews. 2005, 68(2): 91-116.

DOI: 10.1115/1.1849169

[7] ZHANG Wei, CHEN Liqun. Transverse vibration control of an axially moving strings system by adaptive method[J]. Journal of Mechanical Engineering. 2006, 42(4): 96-100.

DOI: 10.3901/jme.2006.04.096

[8] S. Naguleswaran;C. J. H. Williams. Lateral vibration of band-saw blades, pulley belts and the like[J]. International Journal of Mechanical Sciences, 1968, 10(4): 239-250.

DOI: 10.1016/0020-7403(68)90009-x

[9] Zhang L. Zu JW, Transient response for viscoelastic moving belts using block-by-block method[J]. International Journal of Structural Stability and Dynamics, 2002, 02(02): 265-280.

DOI: 10.1142/s021945540200049x

[10] LI ZhongHua, Li YingHui. Muti-mode coupled transverse vibration of the axially moving viscoelastic sandwich plate[J]. Acta Materiae Compositae Sinica, 2012, 29(3): 219-225.

[11] QI Huan-huan, XU Jian. Effect of Galerkin modal truncation on natural frequency analysis of a cantilevered pipe conveying fluid[J]. Journal of Vibration and Shock. 2011, 30(1): 148-151.

[12] YAO Bao-heng, REN Ping, Li Zhi-Gangect. Dynamic analysis of pipeline laying deep ocean based on Galerkin truncation method[J]. Journal of vibration and shaock, 2008, 27(10): 43-45.

[13] Huhai-yan. Application of nonlinear dynamics[M]. Beijing: AviationIndustryPress, 2000, 43-62.

[14] Beikmann R S, Perkins N C, Ulsoy A G. Free vibrat ion of serpentine belt drive systems. ASME Journal of Vibration and Acousti cs, 1996, 118( 1) : 406 -413.

DOI: 10.1115/1.2888197

[15] D.T. Greenwoof book, Sun Guo-kun translation. Classical Dynamics[M]. Beijing: Science Press, 1982, 178-210.

[16] YANG Xiao-dong, JIN Ji-duo. Comparison of Galerkin method and complexmode method in natural frequency analysis of tube converying fluid[J]. Journal of vibration and shaock. 2008, 27(3): 80-86.